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Finding the Third Proportional to 45,431,744 and 98,528,896

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Solution

The third proportional to 45,431,744 and 98,528,896 is: 213,681,943.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,431,744 : 98,528,896 = 98,528,896 : x
  2. Step 2: Convert to fraction form
    45,431,744/98,528,896 = 98,528,896/x
  3. Step 3: Cross multiply
    45,431,744x = 98,528,896 × 98,528,896
  4. Step 4: Simplify right side
    45,431,744x = 9,707,943,346,978,816
  5. Step 5: Solve for x
    x = 9,707,943,346,978,816/45,431,744
  6. Step 6: Final answer
    x = 213,681,943.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.